A) Independent
B) Mutually exclusive
C) Mutually exclusive and independent
D) None of these
Correct Answer: A
Solution :
We have \[P(A+B)=P(A)+P(B)-P(AB)\] \[\Rightarrow \frac{5}{6}=\frac{1}{2}+P(B)-\frac{1}{3}\Rightarrow P(B)=\frac{4}{6}=\frac{2}{3}\] Thus, \[P(A)\,.\,P(B)=\frac{1}{2}\times \frac{2}{3}=\frac{1}{3}=P(AB)\] Hence events \[A\] and \[B\] are independent.You need to login to perform this action.
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